Question

Consider a 355kg satellite in a circular orbit at a distance of 3.07 x 10⁴ km above the Earth’s surface. What is the minimum amount of work the satellite’s thrusters must do to raise the satellite to a geosynchronous orbit? Geosynchronous orbits occur at approximately 3.60 x 10⁴ km above the Earth’s surface. The radius of the Earth and the mass of the Earth are R_E = 6.37 x 10³ km and M_E = 5.97 x 10^{24 kg} respectively. The gravitational constant 6.67 x 10^-11 m³/kg.s² Assume the change in mass of the satellite is negligible.

Answer 1

Find the energy of satellite in an orbit and the work done will be equal to change in energy for the transfer of orbit as shown below.

***********************************************************************************************
Check the answer and let me know immediately if you find something wrong or missing... I will rectify the mistakes asap if any